Average Error: 0.0 → 0.0
Time: 9.2s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[a \cdot a - b \cdot b\]
a \cdot a - b \cdot b
↓
a \cdot a - b \cdot b
double f(double a, double b) {
        double r2755370 = a;
        double r2755371 = r2755370 * r2755370;
        double r2755372 = b;
        double r2755373 = r2755372 * r2755372;
        double r2755374 = r2755371 - r2755373;
        return r2755374;
}
↓
double f(double a, double b) {
        double r2755375 = a;
        double r2755376 = r2755375 * r2755375;
        double r2755377 = b;
        double r2755378 = r2755377 * r2755377;
        double r2755379 = r2755376 - r2755378;
        return r2755379;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(a + b\right) \cdot \left(a - b\right)\]

Derivation

  1. Initial program 0.0

    \[a \cdot a - b \cdot b\]

  2. Final simplification0.0

    \[\leadsto a \cdot a - b \cdot b\]

Reproduce

herbie shell --seed 2019139 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

  :herbie-target
  (* (+ a b) (- a b))

  (- (* a a) (* b b)))